With Gjelina in Venice, the upcoming annex Gjelina Take Away and a lease on a Hollywood space, the chef is working hard — not that he's letting on how difficult it is.

On a recent afternoon in the sun-filled kitchen at the back of Gjelina restaurant in Venice, chef Travis Lett mans an oven in which he's baking several loaves of golden-crusted bread. "I'm looking for good color, nice 'ears,'" Lett says, referring to the edge on top of the bread where it has split.

He's dialing in the final details for his latest project, Gjelina Take Away (or GTA), a next-door annex that has Lett baking breads, jarring pickles and curing meats for what he envisions as a neighborhood deli selling "everyday stuff" — pizza, antipasti, sandwiches — set to open this month. "I want to get away from food that's too precious," he says. "Straight up, elemental, not fussy at all. I'm trying to get better at that."

What's to get better at? For the last three years, Lett, who is 32, has helped steer the success that is Gjelina: a constant swirl of diners who spill onto the Abbot Kinney Boulevard sidewalk waiting for a turn to eat in the open-all-day, brick-floored, Edison-bulb-accented restaurant. They come for his thin-crusted pizzas from the wood-burning oven, straight-from-the-farm vegetables such as roasted okra or grilled kale, and plates of rustic chickpea stew or stuffed eggplant or pork meatballs — food that's seemingly simple but made exactingly.

As Lett puts it: "We're working really hard to not look like we're working really hard." That might be Lett's approach to life, which lends him an air of likable nonchalance. On the surface, it seems as if everything comes to him easily.

Next year he'll try to translate some of the minimalism and grace that works so well in bohemian-bourgeois Venice to a neighborhood better known for fancy and flash. Lett, who says he will continue to be a part of Gjelina, and a new partner have signed a lease for a restaurant on Hollywood Boulevard in the space that was formerly Kung Pao Kitty. It's 2,500 square feet of restaurant on top of 2,500 square feet of basement, enough room for a locker to smoke and cure meats and maybe equipment to brew his own beer.

"Concept?" he asks. "That word scares me. Do I have to have a concept?"

At the heart of Gjelina is a kitchen staff that has grown from about 10 to nearly 50 people, cranking out a menu of several dozen dishes for which they make each component down to the crème fraîche and grainy mustard: ricotta, sauerkraut, knife-cut buckwheat pasta, guanciale, merguez sausage.... It takes three days to make the pizza, starting with the dough's pre-ferment.

Produce from the Santa Monica farmers' market now makes up 90% of the vegetables on the menu (and there are a lot of vegetables on the menu) — two truckloads' worth every Wednesday and Saturday, crates stacked to the roof in the alley behind the kitchen. "This is stuff that's caked in dirt, has root bases, it goes from field to truck to restaurant," Lett says. Washing and drying lettuce alone is practically a full-time job.

On any given Saturday, from morning to night, 1,000 people will have filled the 100-seat restaurant. "That's 10 turns with a small margin for error," Lett says. Even through the worst of the recession, each month has been busier than the last. And on a Monday at 10 p.m., you will still have to wait 45 minutes if you show up without a reservation.

Gjelina's popularity has chafed some neighbors, who have prevented Lett from expanding to an aerie above the restaurant where he once planned a separate vegetarian kitchen and dining room, now used only for private events. Recently, a Venice civic organization has challenged city approval allowing Gjelina to increase the number of seats.

In some ways, Gjelina is an unlikely success story. The restaurant opened with no publicity, no sign, no valet. Lett, who says he's "not even a highly trained chef, just a resourceful guy," had literally bumped into the job, after meeting the owner on the street. And despite his penchant for conversation and his model good looks, he has shied away from media and refused television appearances, at a time when it's the norm for self-promoting young chefs to jump at the chance to star on reality TV.

Lett grew up in tiny, affluent Chatham, N.J., a Manhattan bedroom community where his mom introduced him to farmers markets. "Forget that it was the '80s," he says, "it was New Jersey. On weekends she got in the car and drove an hour and a half [to the market]. She worked, but when she got home and before she even put her bag down, I heard the stove click on. And we were expected to be at the table. Absolutely." She cemented the idea that "food represented your relationship to the environment, your relationship to your health, there was that connection," he says.